Lie algebra of coupled higher-dimensional forced Burgers' equation

被引：0

作者：

Halder, Amlan K. ^{[1
]}

Charalambous, Kyriakos ^{[2
,3
]}

Sinuvasan, R. ^{[4
]}

Leach, P. G. L. ^{[5
,6
]}

机构：

[1] Pondicherry Univ, Dept Math, Pondicherry 605014, India

[2] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus

[3] Univ Nicosia, Dept Math, CY-1700 Nicosia, Cyprus

[4] VIT AP Univ, Dept Math, Amaravati 522237, Andhra Pradesh, India

[5] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa

[6] Durban Univ Technol, Inst Syst Sci, Durban, South Africa

来源：

AFRIKA MATEMATIKA | 2021年 / 32卷 / 7-8期

基金：

新加坡国家研究基金会;

关键词：

Symmetries; Integrability; Coupled Burger's equation; Reduction of order; DIFFERENTIAL-EQUATIONS; TURBULENCE;

D O I：

10.1007/s13370-021-00926-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Symmetry analysis of coupled higher-dimensional forced Burgers' equation is investigated for various cases. The Lie algebra for the various cases of forcing terms is investigated. Interestingly, for a linear forcing term, the symmetry analysis leads to the Ermakov-Pinney equation and time-dependent oscillator equation.

引用

页码：1657 / 1667

页数：11

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